Q1. A local bank offers an account that pays 8%, compounded quarterly, for any deposits of $10,000 or more that are left in the account for a period of 5 years. The effective annual rate of interest on this account is:
A) 4.65%.
B) 8.24%.
C) 9.01%.
Correct answer is B)
(1 + periodic rate)m − 1 = (1.02)4 − 1 = 8.24%.
Q2. Which of the following is the most accurate statement about stated and effective annual interest rates?
A) The stated rate adjusts for the frequency of compounding.
B) So long as interest is compounded more than once a year, the stated annual rate will always be more than the effective rate.
C) The stated annual interest rate is used to find the effective annual rate.
Correct answer is C)
The effective annual rate, not the stated rate, adjusts for the frequency of compounding. The nominal, stated, and stated annual rates are all the same thing.
Q3. A major brokerage house is currently selling an investment product that offers an 8% rate of return, compounded monthly. Based on this information, it follows that this investment has:
A) an effective annual rate of 8.00%.
B) a periodic interest rate of 0.667%.
C) a stated rate of 0.830%.
Correct answer is B)
Periodic rate = 8.0 / 12 = 0.667. Stated rate is 8.0% and effective rate is 8.30%.
Q4. Use a stated rate of 9% compounded periodically to answer the following three questions. Select the choice that is the closest to the correct answer.
The semi-annual effective rate is:
A) 9.00%.
B) 9.31%.
C) 9.20%.
Correct answer is C)
First, we need to calculate the periodic rate, or 0.09 / 2 = 0.045.
Then, the effective semi-annual rate = (1 + 0.045)2 − 1 = 0.09203, or 9.20%.
Q5. The quarterly effective rate is:
A) 9.40%.
B) 9.31%.
C) 9.00%.
Correct answer is B)
First, we need to calculate the periodic rate, or 0.09 / 4 = 0.0225.
Then, the effective annual rate = (1 + 0.0225)4 − 1 = 0.09308, or 9.31%.
发表于 2008-12-29 16:27
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